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Article: Upper and lower bounds for evaluation of nonlinear fracture parameters

TitleUpper and lower bounds for evaluation of nonlinear fracture parameters
Authors
KeywordsBound Theorems
Finite Element Method
I*-Integral
J-Integral
Nonlinear Fracture
Issue Date1999
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/engfracmech
Citation
Engineering Fracture Mechanics, 1999, v. 62 n. 2-3, p. 185-201 How to Cite?
AbstractBound theorems for estimating small strain nonlinear fracture parameters are proposed. It is found that the lower bound for the J-integral can be obtained by a compatible displacement finite element method. On the other hand, the upper bound of the I*-integral, which is the dual counterpart of the J-integral, can be obtained by an equilibrium finite element method. To verify the theorems and avoid the difficulty of designing equilibrium finite element models, the popular Pian-Sumihara hybrid stress model is modified by incorporating a penalty-equilibrium constraint. Moreover, an incremental formulation of the I*-integral for nonlinear finite element computation is developed. Numerical examples on different crack and loading configurations are presented. All the results indicate the validity of the theorems. © 1999 Elsevier Science Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/156502
ISSN
2014 Impact Factor: 1.767
2014 SCImago Journal Rankings: 1.630
References

 

DC FieldValueLanguage
dc.contributor.authorSze, KYen_US
dc.contributor.authorWu, CCen_US
dc.contributor.authorHuang, YQen_US
dc.date.accessioned2012-08-08T08:42:42Z-
dc.date.available2012-08-08T08:42:42Z-
dc.date.issued1999en_US
dc.identifier.citationEngineering Fracture Mechanics, 1999, v. 62 n. 2-3, p. 185-201en_US
dc.identifier.issn0013-7944en_US
dc.identifier.urihttp://hdl.handle.net/10722/156502-
dc.description.abstractBound theorems for estimating small strain nonlinear fracture parameters are proposed. It is found that the lower bound for the J-integral can be obtained by a compatible displacement finite element method. On the other hand, the upper bound of the I*-integral, which is the dual counterpart of the J-integral, can be obtained by an equilibrium finite element method. To verify the theorems and avoid the difficulty of designing equilibrium finite element models, the popular Pian-Sumihara hybrid stress model is modified by incorporating a penalty-equilibrium constraint. Moreover, an incremental formulation of the I*-integral for nonlinear finite element computation is developed. Numerical examples on different crack and loading configurations are presented. All the results indicate the validity of the theorems. © 1999 Elsevier Science Ltd. All rights reserved.en_US
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/engfracmechen_US
dc.relation.ispartofEngineering Fracture Mechanicsen_US
dc.subjectBound Theoremsen_US
dc.subjectFinite Element Methoden_US
dc.subjectI*-Integralen_US
dc.subjectJ-Integralen_US
dc.subjectNonlinear Fractureen_US
dc.titleUpper and lower bounds for evaluation of nonlinear fracture parametersen_US
dc.typeArticleen_US
dc.identifier.emailSze, KY: kysze@hku.hken_US
dc.identifier.authoritySze, KY=rp00171en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0032652338en_US
dc.identifier.hkuros41156-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0032652338&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume62en_US
dc.identifier.issue2-3en_US
dc.identifier.spage185en_US
dc.identifier.epage201en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridSze, KY=7006735060en_US
dc.identifier.scopusauthoridChangChun, W=6508291892en_US
dc.identifier.scopusauthoridYingQing, H=6506325022en_US

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